OPM 2005 Problem 2

Consider the triangles $[ABC]$ and $[EDC]$ , right at $A$ and $D$ , respectively. Show that, if $E$ is the midpoint of $[AC]$ , then $AB <BD$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.